Poincare Conjecture
The world we live in is strictly 3dimensional: up/down, left/right, and forwards/backwards, these are the only ways to move. For years, scientists and science fiction writers have contemplated the possibilities of higher dimensional spaces. What would a 4 or 5dimensional universe look like? Or might it even be true that we already inhabit such a space, that our 3dimensional home is no more than a slice through a higher dimensional realm, just as a slice through a 3dimensional cube produces a 2dimensional square? 
One of science's biggest prizes awarded for research into strings and knots


The highest honour in maths has been awarded to four mathematicians

Regular Plus contributor Lewis Dartnell reports on the scramble for milliondollar prizes that made mathematical headlines at the BA Festival of Science in September 2004.

The mathematics of Grigori Perelman may earn him a million dollars, if no holes are found in his proof of the Poincaré Conjecture.
